中文摘要：

从动力学的角度出发，基于抛物线索动刚度矩阵的解析表达式，进一步退化为静刚度矩阵，建立了一个新的两节点抛物线索单元，以及相应的增量迭代求解过程。该单元与利用多项式插值函数的传统索单元不同，其静刚度矩阵表达式由动刚度矩阵的解析表达式对频率取零极限得到，因此是一个解析的表达式，精度较高。最后，通过数值算例和试验结果，验证了该单元的准确性和高效性。

英文摘要：

Based on an analytical dynamic stiffness matrix of a sagging parabolic cable, with the coefficients as functions of the frequency, a two-node parabolic cable element and a corresponding Newton-Raphson procedure are proposed for static nonlinear analysis of cable structures. Unlike the assumed polynomial displacement interpolation functions, the specific feature of the proposed cable element is that the explicit expression of nonlinear static stiffness matrix is obtained from the analytical cable dynamic stiffness matrix by setting the frequency zero. For accuracy comparable to previously available methods, much fewer number of cable elements is needed and a fast rate of convergence can be achieved. The applicability and efficiency of the proposed parabolic cable finite element formulation are verified by both numerical and experimental results.